{"id":31623,"date":"2023-07-07T17:49:10","date_gmt":"2023-07-07T17:49:10","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31623"},"modified":"2023-07-07T18:32:01","modified_gmt":"2023-07-07T18:32:01","slug":"reflex-angle-definition-diagram-examples-facts-how-to-draw","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle","title":{"rendered":"Reflex Angle &#8211; Definition, Diagram, Examples, Facts, How to Draw"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-caf27d8c-da85-4dc4-9e72-9942442e4e63\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#0-what-is-a-reflex-angle>What Is a Reflex Angle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#4-how-to-measure-a-reflex-angle>How to Measure a Reflex Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#5-relation-between-reflex-angle-and-straight-angle>Relation between Reflex Angle and Straight Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#9-solved-examples-on-reflex-angle>Solved Examples on Reflex Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#10-practice-problems-on-reflex-angle>Practice Problems on Reflex Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle#11-frequently-asked-questions-about-reflex-angle>Frequently Asked Questions about Reflex Angle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-reflex-angle\">What Is a Reflex Angle?<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\">angles<\/a> that lie between a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/straight-angle\">straight angle<\/a> $(180^{\\circ})$ and a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle\">complete angle<\/a> $(360^{\\circ})$ are called reflex angles.\u00a0<\/p>\n\n\n\n<p>Consider a few examples.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"682\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/examples-of-reflex-angles.png\" alt=\"Examples of  reflex angles\" class=\"wp-image-31637\" title=\"Examples of  reflex angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/examples-of-reflex-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/examples-of-reflex-angles-273x300.png 273w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here, you can see that any reflex angle has a corresponding angle (angle that lies on the other side of it). These two angles together form a complete angle of $360^{\\circ}$. This corresponding angle may be an acute angle, obtuse angle, or even a right angle. So, for every <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle\">acute angle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/obtuse-angle\">obtuse angle<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">right angle<\/a>, there is a reflex angle.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"396\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angles-with-their-corresponding-angles.png\" alt=\"Reflex angle has a corresponding acute, obtuse, or a right angle\" class=\"wp-image-31638\" title=\"Reflex angle has a corresponding acute, obtuse, or a right angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angles-with-their-corresponding-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angles-with-their-corresponding-angles-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_triangles_pt.png\" alt=\"Classify Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-in-multiples-of-10-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles in Multiples of 10 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-nearest-5-and-1-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Nearest 5 and 1 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-using-a-protractor\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_protractor_pt.png\" alt=\"Draw Angles Using a Protractor Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Using a Protractor Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-right-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_right_angle_1_pt.png\" alt=\"Find Right Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Right Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-squared-and-the-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Squared and the Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_types_of_angle_pt.png\" alt=\"Identify Angles by their Types Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Angles by their Types Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-reflex-angle-definition\">Reflex Angle Definition<\/h2>\n\n\n\n<p><strong>A reflex angle is defined as an angle that is greater than <\/strong>$180^{\\circ}$<strong> but less than <\/strong>$360^{\\circ}$<strong>.\u00a0<\/strong><\/p>\n\n\n\n<p><strong>In other words, the definition of reflex angle in geometry can be given as an angle greater than <\/strong>$180^{\\circ}$ <strong>(a half-circle ) and less than <\/strong>$360^{\\circ}$<strong>(a full circle).<\/strong><\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/count-sides-and-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/count-sides-and-angles.jpeg\" alt=\"Count Sides and Angles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/rectangles-and-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/separate-out-the-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-how-to-find-the-reflex-angle\">How to Find the Reflex Angle<\/h2>\n\n\n\n<p>We know that the sum of a reflex angle and its corresponding angle is 360 degrees.<\/p>\n\n\n\n<p><strong>Reflex angle <\/strong>$+$<strong> Corresponding angle\u00a0 <\/strong>$= 360^{\\circ}$<\/p>\n\n\n\n<p>Using this relation, we can easily calculate the measure of the reflex angle.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong> If an acute angle measures $65^{\\circ}$, then its corresponding reflex angle will be\u00a0<\/p>\n\n\n\n<p>$360^{\\circ} \\;-\\; 65^{\\circ} = 295^{\\circ}$.<\/p>\n\n\n\n<p><strong>Example 2:<\/strong> If an obtuse angle measures $100^{\\circ}$, then its corresponding reflex angle degrees will be $360^{\\circ}\\;-\\; 100^{\\circ} = 260^{\\circ}$.<\/p>\n\n\n\n<p>Thus, if we know the measure of one acute or obtuse angle, the measure of the reflex angle can be calculated.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-reflex-angle-diagram\">Reflex Angle Diagram<\/h2>\n\n\n\n<p>Reflex angle is more than $180^{\\circ}$ and less than $360^{\\circ}$.\u00a0<\/p>\n\n\n\n<p><strong>Examples of reflex angle degrees:<\/strong> $181^{\\circ},\\; 190^{\\circ},\\; 200^{\\circ},\\; 210^{\\circ},\\; 220^{\\circ},\\; 230^{\\circ},\\; 240^{\\circ},\\; 250^{\\circ},\\; 260^{\\circ},\\; 270^{\\circ},\\; 280^{\\circ},\\; 290^{\\circ},\\; 300^{\\circ},$<br>$310^{\\circ},\\; 320^{\\circ},\\; 330^{\\circ},\\; 340^{\\circ},\\; 350^{\\circ},\\; 359^{\\circ}$, etc.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"463\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angle-definition.png\" alt=\"Reflex angle\" class=\"wp-image-31639\" title=\"Reflex angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angle-definition.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/reflex-angle-definition-300x224.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-measure-a-reflex-angle\">How to Measure a Reflex Angle<\/h2>\n\n\n\n<p>Reflex angle can be easily measured with the help of a protractor. We measure a reflex angle in two ways:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Measure the corresponding angle and then subtract it from <\/strong>$360^{\\circ}$<strong>.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Step 1: <\/strong>Measure the internal angle with the help of a protractor. Here, the measure of\u00a0 the internal angle is $100^{\\circ}$.<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Subtract the value of this angle from $360^{\\circ}$ to get the value of the reflex angle. This gives us $360^{\\circ} \\;-\\; 100^{\\circ} = 260^{\\circ}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"501\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/measuring-reflex-angles.png\" alt=\"Measuring the reflex angle\" class=\"wp-image-31641\" title=\"Measuring the reflex angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/measuring-reflex-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/measuring-reflex-angles-300x242.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Use a full-circle protractor to measure the reflex angle itself.<\/strong><\/li>\n<\/ol>\n\n\n\n<p>A full-circle protractor is a round protractor. It is very convenient when measuring an angle greater than 180 degrees. Place your protractor so that its base line lines up with one side of the angle. Identify the marking corresponding to the other arm of the angle. It represents the measure of the reflex angle.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-relation-between-reflex-angle-and-straight-angle\">Relation between Reflex Angle and Straight Angle<\/h2>\n\n\n\n<p>A reflex angle is equal to the sum of 180 (straight angle) and another angle, which may be acute, obtuse, or right angle.&nbsp;<\/p>\n\n\n\n<p>For example, in the given image, we have&nbsp;<\/p>\n\n\n\n<p>$210^{\\circ} = 180^{\\circ} + 30^{\\circ}$ \u00a0 \u00a0 \u00a0 \u2026 the sum of $180^{\\circ}$ and an acute angle\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>$290^{\\circ} = 180^{\\circ} + 110^{\\circ}$\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u2026 the sum of $180^{\\circ}$ and an obtuse angle<\/p>\n\n\n\n<p>$270^{\\circ} = 180^{\\circ} + 90^{\\circ}$ \u2026 the sum of $180^{\\circ}$ and a right angle<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/refelx-angle-and-straight-angle.png\" alt=\"Reflex angle = 180 + Acute angle or Obtuse angle or right angle\" class=\"wp-image-31640\" title=\"Reflex angle = 180 + Acute angle or Obtuse angle or right angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/refelx-angle-and-straight-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/refelx-angle-and-straight-angle-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Thus, we can write these relations as<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Reflex angle $= 180^{\\circ} +$ Acute angle<\/li>\n\n\n\n<li>Reflex angle $= 180^{\\circ} +$ Obtuse angle<\/li>\n\n\n\n<li>Reflex angle $= 180^{\\circ} +$ Right angle<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-reflex-angle-around-us\">Reflex Angle Around Us<\/h2>\n\n\n\n<p>Here are a few examples of objects in daily life showing a reflex angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"362\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Reflex-Angle-7.png\" alt=\"Reflex angle around us\" class=\"wp-image-31642\" title=\"Reflex angle around us\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Reflex-Angle-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/Reflex-Angle-7-300x175.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-facts-about-reflex-angle\">Facts about Reflex Angle<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Reflex angles appear to be &#8220;turned back&#8221; or &#8220;reflected&#8221; beyond a straight angle.<\/li>\n\n\n\n<li>In radians, a reflex angle measures greater than\u00a0radians and less than 2 radians.<\/li>\n\n\n\n<li>Angles around a point add up to 360 degrees.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about reflex angles. Understanding how these special types of angles function can help us better understand the concepts, such as measuring polygons and triangles as well as calculating areas accurately. Now let\u2019s solve some examples and practice problems.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-reflex-angle\">Solved Examples on Reflex Angle<\/h2>\n\n\n\n<p><strong>1. What is the corresponding reflex angle of 160 degrees?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>We know that $160^{\\circ} +$\u00a0 reflex angle $= 360^{\\circ}$<\/p>\n\n\n\n<p>Reflex angle $= 360^{\\circ} \\;-\\; 160^{\\circ}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 200^{\\circ}$<\/p>\n\n\n\n<p>Thus, the reflex angle of 160 degrees is $200^{\\circ}$.<\/p>\n\n\n\n<p><strong>2. Identify reflex angles.<br>a) <\/strong>$140^{\\circ}$<strong><br>b) <\/strong>$30^{\\circ}$<br><strong>c) <\/strong>$300^{\\circ}$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>a) $140^{\\circ}$ is an obtuse angle as it is an angle between $90^{\\circ}$ and $180^{\\circ}$.<\/p>\n\n\n\n<p>b) $30^{\\circ}$ is an acute angle as it is an angle less than $90^{\\circ}$.<\/p>\n\n\n\n<p>c) $300^{\\circ}$ is a reflex angle as it is more than $180^{\\circ}$ but less than $360^{\\circ}$.<\/p>\n\n\n\n<p><strong>3. What is the measure of angles made by the hands of a clock at 05:00?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"301\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/analog-clock.png\" alt=\"Analog clock showing 5 o\u2019clock\" class=\"wp-image-31643\" title=\"Analog clock showing 5 o\u2019clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/analog-clock.png 300w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/analog-clock-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/analog-clock-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/analog-clock-120x120.png 120w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/figure>\n\n\n\n<p>12 divisions $= 360^{\\circ}$<\/p>\n\n\n\n<p>1 division $= \\frac{360}{12} = 30^{\\circ}$<\/p>\n\n\n\n<p>At 5 o\u2019clock, the hour hand is at 5 and the minute hand is at 12.&nbsp;<\/p>\n\n\n\n<p>Number of divisions covered $= 5$<\/p>\n\n\n\n<p>The angle between the two hands of the clock at 5 o\u2019clock $= 5 \\times 30 = 150^{\\circ}$, which is an obtuse angle.<\/p>\n\n\n\n<p>The other angle is a reflex angle.<\/p>\n\n\n\n<p>$360^{\\circ} \\;\u2013\\; 150^{\\circ} = 210^{\\circ}$<\/p>\n\n\n\n<p><strong>4. What is the reflex angle formed by an acute angle of <\/strong>$60^{\\circ}$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Reflex angle $+$ Corresponding angle\u00a0$= 360^{\\circ}$<\/p>\n\n\n\n<p>The reflex angle $=\u00a0360^{\\circ}\\;-\\;$ acute angle<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 360^{\\circ} \\;-\\; 60^{\\circ}$<\/p>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0$= 300^{\\circ}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-reflex-angle\">Practice Problems on Reflex Angle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Reflex Angle - Definition, Diagram, Examples, Facts, How to Draw<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Reflex angle is greater than _____ angle but less than _____angle.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">complete, acute<\/div><div class=\"spq_answer_block\" data-value=\"1\">acute, straight<\/div><div class=\"spq_answer_block\" data-value=\"2\">obtuse, straight<\/div><div class=\"spq_answer_block\" data-value=\"3\">straight, complete<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: straight, complete<br\/>Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following are reflex angles?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$180^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$181^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$360^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $181^{\\circ}$<br\/>Reflex angle is between $180^{\\circ}$ and $360^{\\circ}$.<br>\r\nThus, $181^{\\circ}$ is a reflex angle.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The measure of angle x is _______.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/finding-reflex-angle.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$200^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$210^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$220^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$150^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $210^{\\circ}$<br\/>The measure of the complete angle is 360 degrees.<br>\r\nThus, $x^{\\circ} + 150^{\\circ} = 360^{\\circ}$.<br>\r\n$x^{\\circ} = 360^{\\circ} \\;-\\;  150^{\\circ} = 210^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following is a reflex angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$45^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$145^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$250^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $250^{\\circ}$<br\/>$250^{\\circ}$ is a reflex angle because it lies between $180^{\\circ}$ and $360^{\\circ}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Find the corresponding reflex angle.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/example-on-finding-reflex-angle.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$136^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$144^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$324^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$348^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $324^{\\circ}$<br\/>Reflex angle COD $=$ Complete angle - Measure of corresponding acute angle<br>\r\n$= 360^{\\circ} \\;-\\; 36^{\\circ}$<br>\r\n$= 324^{\\circ}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Reflex Angle - Definition, Diagram, Examples, Facts, How to Draw\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Reflex Angle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Reflex angle is greater than _____ angle but less than _____angle.\",\n                    \"text\": \"Reflex angle is greater than _____ angle but less than _____angle.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"complete, acute\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"acute, straight\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"obtuse, straight\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"straight, complete\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reflex angle is the angle which is greater than 180 degree (straight angle) and less than 360 degree (complete angle).\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following are reflex angles?\",\n                    \"text\": \"Which of the following are reflex angles?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$360^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$181^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reflex angle is between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.<br>\r\nThus, $$181^{\\\\circ}$$ is a reflex angle.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The measure of angle x is _______.\",\n                    \"text\": \"The measure of angle x is _______. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/finding-reflex-angle.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$200^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$220^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$150^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$210^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The measure of the complete angle is 360 degrees.<br>\r\nThus, $$x^{\\\\circ} + 150^{\\\\circ} = 360^{\\\\circ}$$.<br>\r\n$$x^{\\\\circ} = 360^{\\\\circ} \\\\;-\\\\;  150^{\\\\circ} = 210^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a reflex angle?\",\n                    \"text\": \"Which of the following is a reflex angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$45^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$145^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$250^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$250^{\\\\circ}$$ is a reflex angle because it lies between $$180^{\\\\circ}$$ and $$360^{\\\\circ}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the corresponding reflex angle.\",\n                    \"text\": \"Find the corresponding reflex angle. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/07\/example-on-finding-reflex-angle.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$136^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$144^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$348^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$324^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reflex angle COD $$=$$ Complete angle - Measure of corresponding acute angle<br>\r\n$$= 360^{\\\\circ} \\\\;-\\\\; 36^{\\\\circ}$$<br>\r\n$$= 324^{\\\\circ}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-reflex-angle\">Frequently Asked Questions about Reflex Angle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51bfeaab-aad4-450c-adf3-ac3428f8d19f\"><strong>What are the types of angles based on measurement or magnitude?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-51bfeaab-aad4-450c-adf3-ac3428f8d19f\">\n\n<p>Types of angles based on the measurement are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Right angle: exactly $90^{\\circ}$<\/li>\n\n\n\n<li>Straight angle: exactly $180^{\\circ}$<\/li>\n\n\n\n<li>Reflex angle: between $180^{\\circ}$ and $360^{\\circ}$<\/li>\n\n\n\n<li>Obtuse angle: between $90^{\\circ}$ and $180^{\\circ}$<\/li>\n\n\n\n<li>Acute angle: less than $90^{\\circ}$<\/li>\n\n\n\n<li>Complete angle: exactly $360^{\\circ}$<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51bfeaab-aad4-450c-adf3-ac3428f8d19f\"><strong>What are the types of angles based on the rotation?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-51bfeaab-aad4-450c-adf3-ac3428f8d19f\">\n\n<p>The angles are of two types based on the direction in which the initial arm rotates to form an angle.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Positive Angles:<\/strong> An angle formed by counterclockwise rotation from its initial side is called a positive angle.&nbsp;<\/li>\n\n\n\n<li><strong>Negative Angles:<\/strong> Negative angles are formed by clockwise rotation from the baseline.<\/li>\n<\/ul>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51bfeaab-aad4-450c-adf3-ac3428f8d19f\"><strong>What is the difference between obtuse and reflex angle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-51bfeaab-aad4-450c-adf3-ac3428f8d19f\">\n\n<p>An angle between $90^{\\circ}$ and $180^{\\circ}$ is obtuse. An angle greater than $180^{\\circ}$ but less than $360^{\\circ}$ is reflex.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51bfeaab-aad4-450c-adf3-ac3428f8d19f\"><strong>Is there a reflex angle in triangles?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-51bfeaab-aad4-450c-adf3-ac3428f8d19f\">\n\n<p>As the total sum of all angles in a triangle is $180^{\\circ}$, it is not possible to have a reflex angle in a triangle.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-51bfeaab-aad4-450c-adf3-ac3428f8d19f\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-51bfeaab-aad4-450c-adf3-ac3428f8d19f\"><strong>What type of polygons can have a reflex angle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-51bfeaab-aad4-450c-adf3-ac3428f8d19f\">\n\n<p>A concave polygon has at least one reflex angle. Convex polygons cannot have a reflex angle.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Reflex Angle? The angles that lie between a straight angle $(180^{\\circ})$ and a complete angle $(360^{\\circ})$ are called reflex angles.\u00a0 Consider a few examples.&nbsp; Here, you can see that any reflex angle has a corresponding angle (angle that lies on the other side of it). These two angles together form a complete &#8230; <a title=\"Reflex Angle &#8211; Definition, Diagram, Examples, Facts, How to Draw\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/reflex-angle\" aria-label=\"More on Reflex Angle &#8211; Definition, Diagram, Examples, Facts, How to Draw\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31623","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31623","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31623"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31623\/revisions"}],"predecessor-version":[{"id":31654,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31623\/revisions\/31654"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}